The number 1634
1634 is an Armstrong number: each digit raised to the power 4 adds up to 1634. Its prime factorisation is 2 × 19 × 43. Divisors (8): 1, 2, 19, 38, 43, 86, 817, 1634.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1634: an Armstrong number: each digit raised to the power 4 adds up to 1634.
- 2
1634 is composite. Its prime factorisation is
- 3
The divisors add up to 2640; without 1634 itself that is 1006, so 1634 is deficient (1006 is less than 1634). Euler's totient φ(1634) = 756 numbers up to 1634 share no factor with it.
- 4
The digits of 1634 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1634 = 2 \times 19 \times 43 \]
1634 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2640 |
| Euler totient φ(n) | 756 |
| Square | 2669956 |
| Cube | 4362708104 |
| Square root | 40.422766 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.634 × |
1634 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and thirty-four |
| Roman numerals | MDCXXXIV |
| Binary (base 2) | 11001100010 |
| Octal (base 8) | 3142 |
| Hexadecimal (base 16) | 662 |
| Base 3 | 2020112 |
| As time | 1634 seconds = 27 min 14 s |
Is 1634 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1634 ÷ 2 = 817) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1634 a prime number?
No. 1634 = 2 × 19 × 43, so it is divisible by 2.
What are the factors of 1634?
1, 2, 19, 38, 43, 86, 817, 1634.
What is 1634 in binary?
11001100010 (hexadecimal 662, octal 3142).
What is the square root of 1634?
About 40.4228.
What is 1634 in Roman numerals?
MDCXXXIV.
Is 1634 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1634?
1634 is an Armstrong number: each digit raised to the power 4 adds up to 1634.